DISTANCE BETWEEN CONTINUOUS FRAMES IN HILBERT SPACE
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY(2017)
摘要
In this paper,we study some equivalence relations between continuous frames in a Hilbert space H. In particular, we seek two necessary and sufficient conditions under which two continuous frames are near. Moreover, we investigate a distance between continuous frames in order to acquire the closest and nearest tight continuous frame to a given continuous frame. Finally, we implement those results for shear lot and wavelet frames in two examples.
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关键词
closeness bound,distance between frames,nearness
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